Finding the Fourth Proportional to 3,844, 5,776.83 and 2,284.30

Step by Step Solution

1. Step 1: Write the proportion equation
   3,844 : 5,776.83 = 2,284.30 : x
2. Step 2: Convert to fraction form
   3,844/5,776.83 = 2,284.30/x
3. Step 3: Cross multiply
   3,844x = 5,776.83 × 2,284.30
4. Step 4: Simplify right side
   3,844x = 13,196,012.77
5. Step 5: Solve for x
   x = 13,196,012.77/3,844
6. Step 6: Final answer
   x = 3,432.89